As someone who like to take walks, especially when I am having to think something through, I have run into this once or twice. The first time it happened, when I was in college, I had they called campus security, and even he acknowleged that I had done nothing wrong (we were all on a track where, you know, people go to walk, and there is a set direction that everyone goes).
After that, when I saw that I was behind a woman, I would deliberately take another route. That usually worked, until one time a woman saw me out walking and came up from behind me to ask where I lived (I refused to tell her, beyond that I did live in that town), and to tell me that I looked weird (I'm not the one accosting people).
After that, when I saw that I was behind a woman, I would deliberately take another route. That usually worked, until one time a woman saw me out walking and came up from behind me to ask where I lived (I refused to tell her, beyond that I did live in that town), and to tell me that I looked weird (I'm not the one accosting people).